Question

Ann and Ruth bowled together and had a combined score of 410 points. Ann's score was 44 points less than Ruth's score. Which system of equations can be used to determine x, Ann's score and y, Ruth's score. (A.21)

Answer 1

The systems of equation are;

`\begin{gathered} x\text{ + y = 410} \\ y-x\text{ = 44} \end{gathered}`

Here, we want to write a system of equations that can be used to determine individual scores

From the question, x represents Ann's score while y represents Ruth's score

Looking at the first part, there was a combined score of 410

This means that if we add both scores together, we will get 410

Using mathematical notation, this will be;

`x\text{ + y = 410}`

Moving on, we are told that Ann's score was 44 points less than Ruth's score. In other words, the difference between their scores is 44, with Ruth's score greater.

Thus, mathematically, we have that;

`y\text{ - x = 44}`